Search a number
-
+
120662016 = 211341479
BaseRepresentation
bin1110011000100…
…10100000000000
322102001021011120
413030102200000
5221342141031
615550112240
72663416206
oct714224000
9272037146
10120662016
1162124182
12344ab680
131bcc9357
141204d076
15a8d6a96
hex7312800

120662016 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 39157760.

The previous prime is 120661987. The next prime is 120662023. The reversal of 120662016 is 610266021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251665 + ... + 252143.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2120662016 is an apocalyptic number.

120662016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

120662016 is an abundant number, since it is smaller than the sum of its proper divisors (209558784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120662016 is an equidigital number, since it uses as much as digits as its factorization.

120662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 120662016 is about 10984.6263477644. The cubic root of 120662016 is about 494.1477918917.

The spelling of 120662016 in words is "one hundred twenty million, six hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 479 492 512 656 768 958 984 1024 1312 1437 1536 1916 1968 2048 2624 2874 3072 3832 3936 5248 5748 6144 7664 7872 10496 11496 15328 15744 19639 20992 22992 30656 31488 39278 41984 45984 58917 61312 62976 78556 83968 91968 117834 122624 125952 157112 183936 235668 245248 251904 314224 367872 471336 490496 628448 735744 942672 980992 1256896 1471488 1885344 2513792 2942976 3770688 5027584 7541376 10055168 15082752 20110336 30165504 40220672 60331008 120662016